Length - practice for 14 year olds - page 7 of 50
Number of problems found: 994
- Figure 2
Figure A maps to figure B with a scale factor of 0.75. The length of the line AB segment in figure A is 10. What is its length on the image in figure B? - Figure
Figure A is a scale image of Figure B, as shown. (figure a is 6 inches, and figure b is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x - A car 3
A car rental agency advertised renting a car for 27.95 per day and 0.28 per mile. If Greg rents this car for two days, how many whole miles can he drive on a $100 budget? - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
- A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem. - Ivan rented
Ivan rented a truck for one day. There was a base fee of $14.95, and he drove an additional charge of 73 cents for each mile. Ivan had to pay $114.96 when he returned the truck. For how many miles did he drive the truck? - Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - Measured 74724
How long would a tourist walk the route if he measured 24.9 cm on a map with a scale of 1:25000? The marching speed is 4 km/h.
- A rectangle 12
A rectangle has a width of 7.2 cm shorter than its length. The perimeter of this rectangle is 22.8 cm. Write the width-to-length ratio of this rectangle in the simplest form and show how you solve the problem. - The distance 2
The distance between the two ports M and N is 2100km. If two ships travel towards each other, with one ship leaving port M at 20km/h and at the same time another ship from port N traveling at 15km/h. (I) How long will it take the two ships to meet? (ii) h - The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle? - The length 10
The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle? - Three trucks
There are places A and Y, three trucks, B, C, and D, respectively. Truck B is 60 km/h, C is 40 km/h and D is 80 km/h. Trucks B and C start at place A while D starts at Y. After D and B meet, two hours later, will D meet C. What is the distance between pla
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an angle of elevation of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find - Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - Perpendicular 73574
The two lines of the triangle are perpendicular to each other and are 27 cm and 36 cm. Calculate the length of the sides of the triangle and the length of the third line. - Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map.
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